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Minimizing Tumor Volume for a Mathematical Model of Anti-Angiogenesis with Linear Pharmacokinetics

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Recent Advances in Optimization and its Applications in Engineering

Summary

Optimal and suboptimal protocols are given for a mathematical model for tumor anti-angiogenesis. If a linear model for the pharmacokinetics of the antiangiogenic agent is included in the modeling, optimal controls have chattering arcs, but excellent suboptimal approximations can be given.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, Il, 62026-1653, USA

    Urszula Ledzewicz

  2. Institut für Numerische und Angewandte Mathematik, Rheinisch Westfälische Wilhelms Universität Münster, D-48149, Münster, Germany

    Helmut Maurer

  3. Dept. of Electrical and Systems Engineering, Washington University, St. Louis, Mo, 63130-4899, USA

    Heinz Schättler

Authors
  1. Urszula Ledzewicz
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  2. Helmut Maurer
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  3. Heinz Schättler
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Corresponding author

Correspondence to Urszula Ledzewicz .

Editor information

Editors and Affiliations

  1. Dept. Electrical Engineering (ESAT), Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, Leuven, 3001, Belgium

    Moritz Diehl

  2. CORE-UCL, Voie du Roman Pays 34, Louvain-la-Neuve, 1348, Belgium

    Francois Glineur

  3. , Department Computerwetenschappen, Katholieke Universiteit Leuven, Leuven, 3001, Belgium

    Elias Jarlebring

  4. Dept. Computer Science, Katholieke Universiteit Leuven, Celesijnenlaan 200a, Leuven, 3001, Belgium

    Wim Michiels

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Ledzewicz, U., Maurer, H., Schättler, H. (2010). Minimizing Tumor Volume for a Mathematical Model of Anti-Angiogenesis with Linear Pharmacokinetics. In: Diehl, M., Glineur, F., Jarlebring, E., Michiels, W. (eds) Recent Advances in Optimization and its Applications in Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12598-0_23

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  • DOI: https://doi.org/10.1007/978-3-642-12598-0_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12597-3

  • Online ISBN: 978-3-642-12598-0

  • eBook Packages: EngineeringEngineering (R0)

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